Condensates of p-wave pairs are exact solutions for rotating two-component Bose gases

TL;DR

This paper derives exact solutions for the wave functions and energies of rotating two-component Bose-Einstein condensates, revealing that their ground states consist of condensates of p-wave pairs across various interaction types.

Contribution

It provides universal, interaction-independent wave functions and energies for two-component Bose gases under rotation, supported by numerical validation.

Findings

Ground states are condensates of p-wave pairs.

Wave functions are universal and interaction-independent.

Results apply to contact, Coulomb, and dipolar interactions.

Abstract

We derive exact analytical results for the wave functions and energies of harmonically trapped two-component Bose-Einstein condensates with weakly repulsive interactions under rotation. The isospin symmetric wave functions are universal and do not depend on the matrix elements of the two-body interaction. The comparison with the results from numerical diagonalization shows that the ground state and low-lying excitations consists of condensates of p-wave pairs for repulsive contact interactions, Coulomb interactions, and the repulsive interactions between aligned dipoles.